论文标题
宽度，宽度和直径的几何术语指数系统的完整性
Completeness of the exponential system in geometric terms of width, breadth and diameter
论文作者
论文摘要
我们建立一个标准，以在凸面紧凑型集合的功能空间中的指数系统完整性，并在该紧凑型集合的内部以及在凸面域中的全体形态函数的空间中以紧凑型组的宽度或方向上的域的范围范围内的全体形态函数空间进行标准。主要结果仅通过一方面紧凑型集合或域的方向，宽度或直径与对数分散或对数的块密度的宽度或对数块密度在另一方面的指数分布的密度或对数块密度。
We establish a criterion for the completeness of an exponential system in the spaces of functions continuous on a convex compact set and holomorphic in the interior of this compact set, as well as in the spaces of holomorphic functions in the convex domain in terms of the breadth of the compact set or the domain in the direction. The main results are formulated exclusively through the relations between the breadth in the direction, width or diameter of the compact set or domain on the one hand and the logarithmic submeasures or logarithmic block densities of the distribution of exponents of exponential system on the other.
